Liénard系统的比较定理

Comparsion Theorems for Liénard System

中文关键词:  Liénard系统  有界性  周期解  比较定理

英文关键词:Liénard system  boundedness  periodic solution  comparsion theorem.

中文摘要:

      研究了Liénard方程的一类新的等价系统解的有界性与周期解的存在性.证明了几个比较定理,使传统Liénard方程等价系统解的有界性和周期解的存在性可用于判定新等价系统解的有界性与周期解的存在性.

英文摘要:

      This paper studies a new equivalent system of Liénard's equation. Some compar sion theorems are given so that the existence of periodic solutions and the boundedness of solutions to the new equivalent system can be obtained by means of the existence of periodic solutions and the boundedness of solutions to traditional Liénard system. These results extend and improve many existing ones in the literaturs.